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Simplifying 5(4c + 1) = 5(c + 13) Reorder the terms: 5(1 + 4c) = 5(c + 13) (1 * 5 + 4c * 5) = 5(c + 13) (5 + 20c) = 5(c + 13) Reorder the terms: 5 + 20c = 5(13 + c) 5 + 20c = (13 * 5 + c * 5) 5 + 20c = (65 + 5c) Solving 5 + 20c = 65 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 5 + 20c + -5c = 65 + 5c + -5c Combine like terms: 20c + -5c = 15c 5 + 15c = 65 + 5c + -5c Combine like terms: 5c + -5c = 0 5 + 15c = 65 + 0 5 + 15c = 65 Add '-5' to each side of the equation. 5 + -5 + 15c = 65 + -5 Combine like terms: 5 + -5 = 0 0 + 15c = 65 + -5 15c = 65 + -5 Combine like terms: 65 + -5 = 60 15c = 60 Divide each side by '15'. c = 4 Simplifying c = 4
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